Telegraphic Transport Processes and Their Fractional Generalization: A Review and Some Extensions

Entropy (Basel). 2021 Mar 18;23(3):364. doi: 10.3390/e23030364.

Abstract

We address the problem of telegraphic transport in several dimensions. We review the derivation of two and three dimensional telegrapher's equations-as well as their fractional generalizations-from microscopic random walk models for transport (normal and anomalous). We also present new results on solutions of the higher dimensional fractional equations.

Keywords: continuous time random walk; fractional telegrapher’s equation; telegrapher’s equations; transport problems.

Publication types

  • Review